出そうと

try to put out

→ 出す
phrase Rare #22,858
try to put out 出そうと is the volitional form of 出す followed by と, often used with する to mean “try to put out” or “try to bring out.” The exact meaning of 出す depends on context.
JA: 彼は財布を出そうとした。
EN: He tried to take out his wallet.

私を奉公に出そうとしたわね

You tried to send me away into domestic service, didn't you?

— ウィッチ (2016)

誰も出そうとしません

No one is trying to get it out.

— きっと、うまくいく (2009)